Abstract
We study the relative position of the invariant manifolds of the fixed points on the compactification of the so called non rotating triple collision manifold for the planar general three body problem. The results obtained allow to describe all the possible transition from the approach to triple collision to the escape from it. We also describe how these transitions change as a function of the masses of the three bodies in a domain of the space of masses and are completed by numerical simulations in the remainder set of masses.KeywordsInvariant ManifoldBody ProblemBinary CollisionFinal IndexTriple CollisionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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